Limit and continuity

• 0

Answer explanation

A two-sided limit exists if and only if the left hand limit is equal to the right hand limit.

LHL is not the same as RHL, so the two-sided limit DNE.

Answer explanation

[ (3*4 - 1/2*(-2) ]^2 = (12 +1)^2 = 169

• Does not exist.

Answer explanation

• Does not exist.

Answer explanation

• Does not exist.

Answer explanation

• True

• False

Answer explanation

Answer explanation

Answer explanation

• Does not exist.

Answer explanation

The left hand limit is 0 and the right hand limit is -infinity. So, the two-sided limit is DNE.

Is f(x) continuous at x = a?

• Yes

• No

Answer explanation